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A shallow water model for the numerical simulation of overland flow on surfaces with ridges and furrows

Abstract : We introduce here a shallow water model for the numerical simulation of overland flow with furrows effects without representing them explicitly. The model is obtained by adding to the classical shallow water equations a friction term that takes into account these effects. We validate the model with some numerical tests and we present comparisons with simulations computed with the classical shallow water model where the furrows are explicitly described.
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https://hal.archives-ouvertes.fr/hal-00429152
Contributor : Ulrich Razafison <>
Submitted on : Tuesday, February 8, 2011 - 1:27:05 AM
Last modification on : Monday, May 11, 2020 - 6:14:06 PM
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  • HAL Id : hal-00429152, version 2

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Ulrich Razafison, Stephane Cordier, Olivier Delestre, Frédéric Darboux, Carine Lucas, et al.. A shallow water model for the numerical simulation of overland flow on surfaces with ridges and furrows. European Journal of Mechanics - B/Fluids, Elsevier, 2012, 31, pp.44--52. ⟨hal-00429152v2⟩

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